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Home » Discover Why Besenior is the Hottest Trend in Senior Care—It’s Changing Lives Forever! - AMAZONAWS

Discover Why Besenior is the Hottest Trend in Senior Care—It’s Changing Lives Forever! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 h(2) = 2(2) + 1 = 5

📌 Final answer: $\boxed{5}$

📌 Question: A sequence of five real numbers forms an arithmetic progression with the first term $a$ and common difference $d$. If the sum of the first and third terms is 14, and the second term is 5, find the fifth term.

📌 Solution: The terms are $a$, $a + d$, $a + 2d$, $a + 3d$, $a + 4d$.

📌 $a + (a + 2d) = 14$ → $2a + 2d = 14$ → $a + d = 7$

📌 $a + d = 5$

📌 But $a + d = 7$ from (1) and $a + d = 5$ from (2) is a contradiction. Recheck: The second term is $a + d = 5$, and first + third is $a + (a + 2d) = 2a + 2d = 14$ → $a + d = 7$.

📌 But $a + d = 5$ and $a + d = 7$ is impossible. Therefore, no such sequence exists unless the problem is misinterpreted.

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